100021600 has 144 divisors (see below), whose sum is σ = 285169248. Its totient is φ = 33546240.

The previous prime is 100021589. The next prime is 100021627. The reversal of 100021600 is 6120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296632 + ... + 296968.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342).

Almost surely, 2^100021600 is an apocalyptic number.

100021600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142584624).

100021600 is an abundant number, since it is smaller than the sum of its proper divisors (185147648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021600 is a wasteful number, since it uses less digits than its factorization.

100021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100021600 is about 10001.0799416863. The cubic root of 100021600 is about 464.1923003950.

Adding to 100021600 its reverse (6120001), we get a palindrome (106141601).

The spelling of 100021600 in words is "one hundred million, twenty-one thousand, six hundred".